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213161166 = 233113181193
BaseRepresentation
bin11001011010010…
…01010011001110
3112212002201011000
430231021103032
5414032124131
633052441130
75165561061
oct1455112316
9485081130
10213161166
11aa362159
125b4791a6
133521498a
142044a8d8
1513aa8ce6
hexcb494ce

213161166 has 64 divisors (see below), whose sum is σ = 483013440. Its totient is φ = 69672960.

The previous prime is 213161161. The next prime is 213161167. The reversal of 213161166 is 661161312.

213161166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213161161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104366 + ... + 1104558.

It is an arithmetic number, because the mean of its divisors is an integer number (7547085).

Almost surely, 2213161166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213161166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241506720).

213161166 is an abundant number, since it is smaller than the sum of its proper divisors (269852274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213161166 is a wasteful number, since it uses less digits than its factorization.

213161166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 213161166 is about 14600.0399314522. The cubic root of 213161166 is about 597.3598497172.

The spelling of 213161166 in words is "two hundred thirteen million, one hundred sixty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 113 181 193 226 339 362 386 543 579 678 1017 1086 1158 1629 1737 2034 3051 3258 3474 4887 5211 6102 9774 10422 20453 21809 34933 40906 43618 61359 65427 69866 104799 122718 130854 184077 196281 209598 314397 368154 392562 552231 588843 628794 943191 1104462 1177686 1886382 3947429 7894858 11842287 23684574 35526861 71053722 106580583 213161166